11. Describe with full experimental detail how to prove that the ratio of the difference of the potentials at two fixed points A and B of a given conductor to the current flowing from A to B along the conductor is a constant if the temperature is constant. What is this constant

called, and on what does it depend?

12. A circular copper ring is rotated with constant angular velocity round one of its diameters in a uniform magnetic field whose lines of force are perpendicular to this diameter; describe fully what happens in the ring during one complete revolution?

How would the effect in the ring be modified if its angular velocity be increased?

NATURAL PHILOSOPHY.-PART I.

PRACTICAL EXAMINATION.

The Board of Examiners.

1. Find the volume of the given solid, using a millimetre scale; check your result by the hydrostatic balance, and deduce the density.

2. Calibrate the given burette, and prepare a table of corrections.

3. Find g by the simple pendulum.

4. Verify Boyle's Law.

5. Investigate the relation between load and deflection for the given rod.

6. Determine the Boiling Point of the given liquid.

7. Determine the specific heat of a solid.

8. Compare the illuminating powers of the given lamps.

9. Verify the Law of Reflection of Light.

10. Find the frequency of the given vibrator, using a standard tuning fork.

11. Verify the inverse cube law for magnets.

12. Find the strength of the current flowing in the given circuit.

13. Compare the e.m.f.'s of the given cells by means of a high resistance galvanometer.

14. Find by simple substitution the resistance of the given conductor.

15. Arrange the given apparatus to form a Wheatstone's Bridge.

NATURAL PHILOSOPHY.-PART II.

The Board of Examiners.

PASS AND FIRST HONOURS PAPER.

Only NINE questions are to be attempted.

1. Describe the apparatus and mode of using it in some form of the Cavendish experiment; and give the theory of the method?

2. Describe the construction and mode of employment of some accurate form of dilatometer; and give its complete theory.

3. State the First Law of Thermodynamics; and summarize the experimental evidence on which it is based.

4. What do you understand by a cycle of operations? Describe Carnot's theoretical heat engine, and draw the indicator diagram for its cycle if the working substance be a perfect gas.

5. Describe and give the theory of the method for determining H.

6. Describe how to use the Quadrant Electrometer to compare the capacities of two condensers.

7. (a) If a galvanometer be shunted determine the resistance that should be put into the main circuit so that its total resistance is unchanged.

(b) Prove that a battery of E.M.F. e, internal resistance r, and shunted by a resistance s, is equivalent to a battery of E.M.F.

Describe fully what happens when a magnetic needle is set oscillating above but close to a thick horizontal copper plate.

9. Describe fully the construction of a shunt wound dynamo supplied with a drum wound armature.

Give a drawing of a characteristic typical of

a shunt machine.

10. Describe fully the construction of a good opera glass, and give its theory.

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11. What do you understand by transverse" and "longitudinal" vibrations? Under what circumstances are the latter employed for the production of musical sounds? Why is this the only case?

NATURAL PHILOSOPHY.-PART II.

PRACTICAL EXAMINATION.

The Board of Examiners.

1. Determine by the specific gravity bottle the density of the given solid, making all corrections.

2. Calibrate the given capillary tube, and determine its mean cross section.

3. Determine Young's modulus for the material of a bar.

4. Compare the readings of the given thermometer between 20° and 90° C. with those of a standard; and draw up a table of corrections for it.

5. Fnd the melting point of paraffin.

6. Determine by the method of vibrations the magnetic moment of a bar magnet. (H=0·23).

7. Compare by the potentiometer the given e.m.f.'s. 8. Measure the resistances of the armature and field magnet coils of the given dynamo.

9. Determine the focal length of a convex lens and the radii of its surfaces; and calculate the refractive index of the glass from which it is made. 10. Find the velocity of sound in air at 0° C.

NATURAL PHILOSOPHY.—PART III.
The Board of Examiners.

1. Obtain the correcting factor to be applied to the observed time of swing when the amplitude of the vibration is a small quantity a, to get the time of a very small oscillation.

2. Give the complete theory of the constant volume air thermometer.